paper

HOLISMOKES -- XVIII. Cosmology with strongly lensed type II supernovae: Effects of instrumental setups on

arXiv:2608.26331 · doi:10.1051/0004-6361/202555795

Abstract

The upcoming Rubin Observatory and subsequent follow-up observations should improve the determination of the Hubble constant () via time-delay cosmography of strongly lensed type II supernovae (LSNe II), by enabling the detection of many more such events. In our previous work, we developed a method for determining the supernova (SN) phase from spectral absorption features. Because obtaining spectra of faint targets such as distant SN II is expensive, we examined how low-resolution spectra influence the precision of time-delay retrieval, and consequently the precision on . We considered spectral resolutions between 100 and 250, and we investigated three signal-to-noise ratio () values of 10, 15, and 20, for each resolution. Furthermore, we forecast the precision on achievable with and compared the observing time required to reach it with ground-based and space-based facilities. We find that the time delay can be determined without bias and with uncertainties as low as 1.3 days for the investigated resolutions and values when we combine time-delay measurements of multiple absorption lines. For a typical LSN II system (absolute magnitude 17 mag in the rest-frame V band, source redshift of \zs = 0.8), the required exposure times range from multiple hours for ground-based observations to a few minutes for space-based observations with the JWST. Our predictions on the precision of for a single lensed SN range from 14.2\% for and = 10 to 7.5\% for and = 20, enabling a 1\% determination of from 20 lensed SNe in the coming years.

17 pages, 12 figures, 10 tables

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